Many readers do not need any complex analysis beyond this appendix for analysis of micro- and nanofluidic
systems—the basics of complex number definitions and discussion of differentiability and the Cauchy-Riemann
equations is typically enough. A slightly more formal discussion of the calculus of analytic functions in the context
of plane symmetric potential flows is presented in in [59], and an accessible but more rigorous mathematical
presentation is given in [271]. Conformal mapping is discussed specifically in [272]. Some examples of
microfluidic research employing conformal mapping can be found in [188, 191, 273].